Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems
type: Item
instance of: scholarly article
title: Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems
zbMATH Open document ID: 1498.65187
author: Raffaele D'Ambrosio
author: Martina Moccaldi
author: Beatrice Paternoster
published in: Computer Physics Communications
publication date: 2022-11-28T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7624324
zbMATH Keywords: reaction-diffusion problems
zbMATH Keywords: periodic plane wave solutions
zbMATH Keywords: trigonometrical fitting
zbMATH Keywords: parameter estimation
zbMATH Keywords: adapted method of lines
zbMATH Keywords: IMEX methods
MaRDI profile type: Publication
full work available at URL: j.cpc.2018.01.007
OpenAlex ID: W2794101437
cites work: A reaction-diffusion system of $\lambda$–$\omega$ type Part II: Numerical analysis
cites work: Spiral waves for \(\lambda\)-\(\omega\) systems. II
cites work: Periodic waves in reaction-diffusion models of oscillatory biological systems
cites work: Transition to spatiotemporal chaos via stationary branching shocks and holes
cites work: Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction-Diffusion Systems of Lambda-Omega Type
cites work: The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems
cites work: The effects of density-dependent dispersal on the spatiotemporal dynamics of cyclic populations
cites work: Plane Wave Solutions to Reaction-Diffusion Equations
cites work: Q4679151
cites work: Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday
cites work: Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
cites work: On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
cites work: Implicit-explicit methods for reaction-diffusion problems in pattern formation
cites work: Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
cites work: Numerical solution of time fractional diffusion systems
cites work: Exponentially fitted IMEX methods for advection-diffusion problems
cites work: Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts
cites work: Revised exponentially fitted Runge-Kutta-Nyström methods
cites work: Q5553606
cites work: Q4023226
cites work: A Compendium of Partial Differential Equation Models
cites work: Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection
cites work: Parameter estimation in exponentially fitted hybrid methods for second order differential problems
cites work: Exponentially fitted methods applied to fourth-order boundary value problems
cites work: On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of $\lambda $–$\omega$ Type
DOI: 10.1016/J.CPC.2018.01.007
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description: scientific article; zbMATH DE number 7624324